The rolling of a wheel with a pneumatic tyre on a planet

Vilke, V. G.; Dvornikov, M.V.

doi:10.1016/s0021-8928(98)00047-1

“…The appropriate integration of these forces systems will give the values of the forces and moments acting at the vehicle suspension system. This model is essentially different from those presented by several authors (for instance, Böhm (1966), Vil'ke (1998and 2004), Pacejka (2006). This paper presents an approach to the vertical model only.…”

Section: Introductioncontrasting

confidence: 73%

Anais do XXI Simpósio Internacional de Engenharia Automotiva

2014

Blucher Engineering Proceedings

0

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The existing tire models are basically of three kinds: essentially empirical ("magic formulas"), or mixed empirical/analytical, or extremely complex theoretical models almost useless in practical situations. The model here proposed does not require any empirical data, and presents a simple theoretical approach very suitable to use in project and analysis of real suspension systems. This paper presents a physical and mathematical model for the mechanical behavior of pneumatic car tires, in the particular case of vertical loading. It is a theoretical model, in the sense that it does not require any empirical data. It is based on the perfectly flexible and quasi-inextensible membrane theory, and its formulation does not rely on any tire material property -it is exclusively geometric. The calculated results from this model are compared with measured data from four quite different types of tires: two used in small passenger cars, one high performance tire used in sport vehicles, and other heavy duty tire used in SUV's. In all cases, the differences between measured and calculated data were lower than 5% in the normal range of pressure and loading.

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“…The appropriate integration of these forces systems will give the values of the forces and moments acting at the vehicle suspension system. This model is essentially different from those presented by several authors (for instance, Böhm (1966), Vil'ke (1998and 2004, Pacejka (2006)).…”

Section: Introductioncontrasting

confidence: 68%

A Geometrical Model for Tires Under Vertical Loading

Salvagni¹,

Alves²,

Barbosa³

2014

Blucher Engineering Proceedings

View full text Add to dashboard Cite

The existing tire models are basically of three kinds: essentially empirical ("magic formulas"), or mixed empirical/analytical, or extremely complex theoretical models almost useless in practical situations. The model here proposed does not require any empirical data, and presents a simple theoretical approach very suitable to use in project and analysis of real suspension systems. This paper presents a physical and mathematical model for the mechanical behavior of pneumatic car tires, in the particular case of vertical loading. It is a theoretical model, in the sense that it does not require any empirical data. It is based on the perfectly flexible and quasi-inextensible membrane theory, and its formulation does not rely on any tire material property-it is exclusively geometric. The calculated results from this model are compared with measured data from four quite different types of tires: two used in small passenger cars, one high performance tire used in sport vehicles, and other heavy duty tire used in SUV's. In all cases, the differences between measured and calculated data were lower than 5% in the normal range of pressure and loading.

show abstract

“…The appropriate integration of these forces systems will give the values of the forces and moments acting at the vehicle suspension system. This model is essentially different from those presented by several authors (for instance, (BÖHM, 1966), (VIL'KE, et al, 1998), (VIL'KE, et al, 2001), (VIL'KE, et al, 2004), (PACEJKA, 2006)). This paper presents the general linearized relationship between displacements and forces on tires.…”

Section: Introductioncontrasting

confidence: 67%

Some Considerations About Forces and Deformations in Tires

Salvagni

¹

2015

Anais Do XXIII Simpósio Internacional De Engenharia Automotiva

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The existing tire models are basically of three kinds: essentially empirical ("magic formulas"), or mixed empirical/analytical, or extremely complex theoretical models almost useless in practical situations. The model here proposed does not require any empirical data, and presents a simple theoretical approach very suitable to use in project and analysis of real suspension systems. This paper suggests a physical and mathematical model for the mechanical behavior of pneumatic car tires, based on the relationship between the relative displacement of the wheel to the tire-ground contact region. This formulation, assuming small displacements, is the first step to a more comprehensive model of the tire dynamic behavior, which will be published later.

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The rolling of a wheel with a pneumatic tyre on a planet

Cited by 8 publications

References 0 publications

Anais do XXI Simpósio Internacional de Engenharia Automotiva

Anais do XXI Simpósio Internacional de Engenharia Automotiva

A Geometrical Model for Tires Under Vertical Loading

Some Considerations About Forces and Deformations in Tires

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